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Finding the Fourth Proportional to 17,729.67, 24,467.03 and 9,771.73

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Solution

The fourth proportional to 17,729.67, 24,467.03 and 9,771.73 is: 13,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.67 : 24,467.03 = 9,771.73 : x
  2. Step 2: Convert to fraction form
    17,729.67/24,467.03 = 9,771.73/x
  3. Step 3: Cross multiply
    17,729.67x = 24,467.03 × 9,771.73
  4. Step 4: Simplify right side
    17,729.67x = 239,085,211.06
  5. Step 5: Solve for x
    x = 239,085,211.06/17,729.67
  6. Step 6: Final answer
    x = 13,485.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.